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Finding the Fourth Proportional to 3,858.68, 5,788 and 1,226.44

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Solution

The fourth proportional to 3,858.68, 5,788 and 1,226.44 is: 1,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.68 : 5,788 = 1,226.44 : x
  2. Step 2: Convert to fraction form
    3,858.68/5,788 = 1,226.44/x
  3. Step 3: Cross multiply
    3,858.68x = 5,788 × 1,226.44
  4. Step 4: Simplify right side
    3,858.68x = 7,098,634.72
  5. Step 5: Solve for x
    x = 7,098,634.72/3,858.68
  6. Step 6: Final answer
    x = 1,839.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.